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Finding the Third Proportional to 46,640.81 and 109,630.13

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Solution

The third proportional to 46,640.81 and 109,630.13 is: 257,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640.81 : 109,630.13 = 109,630.13 : x
  2. Step 2: Convert to fraction form
    46,640.81/109,630.13 = 109,630.13/x
  3. Step 3: Cross multiply
    46,640.81x = 109,630.13 × 109,630.13
  4. Step 4: Simplify right side
    46,640.81x = 12,018,764,307.52
  5. Step 5: Solve for x
    x = 12,018,764,307.52/46,640.81
  6. Step 6: Final answer
    x = 257,687.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.